Finding the Third Proportional to 1,584 and 2,376.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584 : 2,376.56 = 2,376.56 : x
2. Step 2: Convert to fraction form
   1,584/2,376.56 = 2,376.56/x
3. Step 3: Cross multiply
   1,584x = 2,376.56 × 2,376.56
4. Step 4: Simplify right side
   1,584x = 5,648,049.32
5. Step 5: Solve for x
   x = 5,648,049.32/1,584
6. Step 6: Final answer
   x = 3,565.69